16 citations · 28 across the 8 of their papers we have counts for
9 papers
Functional Slicing-free Inverse Regression via Martingale Difference Divergence Operator
Songtao Tian, Zixiong Yu, Rui Chen
Functional sliced inverse regression (FSIR) is one of the most popular algorithms for functional sufficient dimension reduction (FSDR). However, the choice of slice scheme in FSIR…
On the Optimality of Functional Sliced Inverse Regression
Rui Chen, Songtao Tian, Dongming Huang +2
In this paper, we prove that functional sliced inverse regression (FSIR) achieves the optimal (minimax) rate for estimating the central space in functional sufficient dimension red…
On the Structural Dimension of Sliced Inverse Regression
Dongming Huang, Songtao Tian, Qian Lin
In this work, we address the longstanding puzzle that Sliced Inverse Regression (SIR) often performs poorly for sufficient dimension reduction when the structural dimension (th…
Randomization Inference for Peer Effects
Xinran Li, Peng Ding, Qian Lin +2
Many previous causal inference studies require no interference, that is, the potential outcomes of a unit do not depend on the treatments of other units. However, this no-interfere…
Global testing under the sparse alternatives for single index models
Qian Lin, Zhigen Zhao, Jun S. Liu
For the single index model with Gaussian design, %satisfying that rank where is unknown and is a sparse -dimensional unit vect…
On the optimality of sliced inverse regression in high dimensions
Qian Lin, Xinran Li, Dongming Huang +1
The central subspace of a pair of random variables is the minimal subspace such that …